Add. Express you answer as a polynomial in standard form. (1 point)

Question

(4x2−x+5)+(5x2+x+9)=
(
4
𝑥
2
−
𝑥
+
5
)
+
(
5
𝑥
2
+
𝑥
+
9
)
=

Answer 1

To add the polynomials \( (4x^2 - x + 5) + (5x^2 + x + 9) \), we combine like terms.

1. Combine the \( x^2 \) terms: \[ 4x^2 + 5x^2 = 9x^2 \]

2. Combine the \( x \) terms: \[ -x + x = 0x \quad (\text{which simplifies to } 0) \]

3. Combine the constant terms: \[ 5 + 9 = 14 \]

Now, putting it all together, we have: \[ 9x^2 + 0x + 14 \]

The polynomial in standard form is: \[ \boxed{9x^2 + 14} \]